Distributions / / Jacques Simon
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| Autore: |
Simon Jacques
|
| Titolo: |
Distributions / / Jacques Simon
|
| Pubblicazione: | Hoboken, NJ : , : John Wiley & Sons, Inc., , [2022] |
| ©2022 | |
| Descrizione fisica: | 1 online resource (408 pages) |
| Disciplina: | 515.782 |
| Soggetto topico: | Theory of distributions (Functional analysis) |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Sommario/riassunto: | This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Fřchet spaces and the same "weak" spaces. Alongside the usual operations - derivation, product, variable change, variable separation, restriction, extension and regularization - Distributions presents a new operation: weighting. This operation produces properties similar to those of convolution for distributions defined in any open space. Emphasis is placed on the extraction of convergent sub-sequences, the existence and study of primitives and the representation by gradient or by derivatives of continuous functions. Constructive methods are used to make these tools accessible to students and engineers. |
| Titolo autorizzato: | Distributions |
| ISBN: | 1-394-16536-6 |
| 1-394-16534-X | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910830676703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Mathematics and statistics series (ISTE)
Analysis for PDEs set ; ; v. 3.